442 views

### Find the coordinates that correspond to the maximum point of the following equation: y = −16x^2 + 160x - 256

To solve this problem, the maximum and minimum points of equations can be deduced through the differentiation process. This looks at the gradient of the function and the maximum/minimum value occurs when the gradient is zero.

The differentiation process is as follows:

f(x)=Axn

df(x)/dx = nAx(n-1)

The equation

y = −16x2 + 160x - 256

becomes

dy/dx= -32x+160

after differentiation and set dy/dx=0

0=-32x+160

x=5

and the corresponding value for y is:

y=-16(52)+160(5)-256= 144

And so the coordinate of the maximum point is:

(5,144)

11 months ago

Answered by Michael, an IB Maths tutor with MyTutor

## Still stuck? Get one-to-one help from a personally interviewed subject specialist

#### 39 SUBJECT SPECIALISTS

£22 /hr

Degree: Chemistry (Masters) - Imperial College London University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
-Personal Statements-

“Imperial College London student giving Chemistry, Mathematics and Biology lessons”

£26 /hr

Degree: MMath Mathematics with Placement (Masters) - Bath University

Subjects offered:Maths, Italian+ 4 more

Maths
Italian
Further Mathematics
Computing
.STEP.
.MAT.

£22 /hr

Degree: Civil and Structural Engineering with a Year in Industry (Masters) - Sheffield University

Subjects offered:Maths, Spanish+ 4 more

Maths
Spanish
Science
Physics
English
Economics

“About Me: Hello! I am a Civil Engineering student at the University of Sheffield. I have always had a natural incline towards all things Maths and Science, so without a doubt, my genuine passion for the subjects’ I am offering will be...”

Currently unavailable: for new students

Degree: Aerospace Engineering (Masters) - Bristol University

Subjects offered:Maths, Science+ 2 more

Maths
Science
Physics
Chemistry

“Final year aerospace engineering student at the University of Bristol with a passion for science and mathematics!”

### You may also like...

#### Posts by Michael

Explain how fluorescent tubes work

Find the coordinates that correspond to the maximum point of the following equation: y = −16x^2 + 160x - 256

Find the factors of x^3−7x−6

What four factors influence the rate of reaction?

#### Other IB Maths questions

Given the function y=f(x), where f(x)=(e^x-e^(-x))/2, find its inverse f'(x).

Given h(x) = 9^x + 9 and g(x) = 10*3^x, find {x | h(x) < g(x)}.

Solve for x: log2(x^4) = log2(16)

write log2(5) +log2​​​​​​​(3) in its simplest form

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.